Conditional stability for thermal convection in a rotating couple-stress fluid saturating a porous media with temperature- and pressure-dependent viscosity using a thermal non-equilibrium model

被引:11
作者
Sunil [1 ]
Choudhary, Shalu [1 ]
Mahajan, Amit [1 ]
机构
[1] Natl Inst Technol, Dept Math, Hamirpur 177005, HP, India
关键词
Thermal convection; porous media; stability; rotation; thermal non-equilibrium; RAYLEIGH-BENARD CONVECTION; BOUNDARY-LAYER-FLOW; NONLINEAR STABILITY; APPROXIMATION; EQUATIONS; ONSET;
D O I
10.1515/jnetdy-2013-0025
中图分类号
O414.1 [热力学];
学科分类号
摘要
A nonlinear stability threshold for convection in a rotating couple-stress fluid saturating a porous medium with temperature-and pressure-dependent viscosity using a thermal non-equilibrium model is found to be exactly the same as the linear instability boundary. This optimal result is important because it shows that linear theory has completely captured the physics of the onset of convection. The effects of couple-stress fluid parameter F, temperature- and pressure-dependent viscosity Gamma, interface heat transfer coefficient H, Taylor number T-A, Darcy-Brinkman number (D) over bara, and porosity modified conductivity ratio gamma on the onset of convection have been investigated. Asymptotic analysis for both small and large values of interface heat transfer coefficient H is also presented. An excellent agreement is found between the exact solutions and asymptotic solutions.
引用
收藏
页码:61 / 78
页数:18
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